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Finding the Fourth Proportional to 937.38, 1,405.94 and 288.06

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Solution

The fourth proportional to 937.38, 1,405.94 and 288.06 is: 432.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.38 : 1,405.94 = 288.06 : x
  2. Step 2: Convert to fraction form
    937.38/1,405.94 = 288.06/x
  3. Step 3: Cross multiply
    937.38x = 1,405.94 × 288.06
  4. Step 4: Simplify right side
    937.38x = 404,995.08
  5. Step 5: Solve for x
    x = 404,995.08/937.38
  6. Step 6: Final answer
    x = 432.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.